Question

The scores for the Math Competition Team at Artemis Middle School were 14, 19, 22, 9, 17,15, 22, 30, 2 ,8 what is the absolute difference between the median and range of these scores

Answer 1

The absolute difference between the median and the range of the scores for the Artemis Middle School Math Competition Team is 12.

Step-by-step explanation:

To find the absolute difference between the median and range of the Math Competition Team scores at Artemis Middle School, we need to follow these steps:

1. First, list the scores in ascending order: 2, 8, 9, 14, 15, 17, 19, 22, 22, 30.
2. To find the median (which is the middle value in an ordered list), since we have an even number of data values (10), we take the average of the fifth and sixth scores: (15 + 17) / 2 = 16.
3. The range is the difference between the largest and smallest values: 30 - 2 = 28.
4. Finally, calculate the absolute difference between the median (16) and range (28): |16 - 28| = 12.

The absolute difference between the median and the range of the scores is 12.